Vi. Erofeev, SYNCHRONOUS INTERACTIONS OF LONGITUDINAL AND ROTATION WAVES IN A NONLINEARLY ELASTIC COSSERAT MEDIUM, Acoustical physics, 40(2), 1994, pp. 223-228
Nonlinear resonance interactions of various types of elastic waves in
a Cosserat continuum are studied. The presence of a quadratic nonlinea
rity in the medium is shown to lead to three-wave resonance interactio
ns between longitudinal waves and longitudinal rotation waves and betw
een longitudinal waves and shear-rotation waves. Quantitatively differ
ent cases of such interactions are analyzed.